Greatest Common Factor of 3654/933, 9079/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3654/933, 9079/484

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3654/933,9079/484

Given fractions are 3654/933,9079/484

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3654,9079

Greatest Common Factor of Numerators i.e. GCF of 3654,9079 is 7 .

LCM of Denominators means LCM of 933,484 as per the given fractions.

LCM of 933,484 is 451572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3654,9079

GCF of Fractions 3654/933,9079/484 is 7/451572

7 3654, 9079
522, 1297

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3654,9079 By Matching Biggest Common Factor Method

Greatest Common Factor of 3654,9079 By Matching Biggest Common Factor Method

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654

Factors of 9079

List of positive integer factors of 9079 that divides 9079 without a remainder.

1,7,1297,9079

Greatest Common Factor

We found the factors 3654,9079 . The biggest common factor number is the GCF number.
So the greatest common factor 3654,9079 is 7.

Lets's calculate LCM of 933,484

Given numbers has no common factors except 1. So, there LCM is their product i.e 451572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/451572

Therefore, the GCF of Fractions 3654/933,9079/484 is 7/451572

Least Common Multiple of 933,484 with GCF Formula

Least Common Multiple of 933,484 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 933,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,484) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(933,484) x common factors =1 x 1 = 1

LCM(933,484) = ( 933 × 484 ) / 1

LCM(933,484) = 451572 / 1

LCM(933,484) = 451572


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3654/933, 9079/484

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3654/933, 9079/484?

Answer: GCF of Numerators as per given numbers 3654/933, 9079/484 is

GCF of Numerators i.e. for 3654,9079 is 7

LCM of denominators i.e. for 933,484 is 451572.

Thus, GCF of Fractions is 7/451572.Finally, GCF of Fractions for 3654/933, 9079/484 is 7/451572.